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Finding the Third Proportional to 105,090 and 157,251

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Solution

The third proportional to 105,090 and 157,251 is: 235,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090 : 157,251 = 157,251 : x
  2. Step 2: Convert to fraction form
    105,090/157,251 = 157,251/x
  3. Step 3: Cross multiply
    105,090x = 157,251 × 157,251
  4. Step 4: Simplify right side
    105,090x = 24,727,877,001
  5. Step 5: Solve for x
    x = 24,727,877,001/105,090
  6. Step 6: Final answer
    x = 235,301.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.